Elimination is used when there is a common factor between the two equations. Substitution is used in cases where finding a common term just isn’t possible, or too complicated.
The area of a square is the length of a side times itself:
2_4/9 * 2_4/9
Mixed numbers cannot be multiplied, so first convert to improper fractions:
(9*2)+4 = 18+4 = 22/9
22/9 * 22/9
Multiply straight across:
(22*22)/(9*9) = 484/81
Now turn this into a mixed number:
81 goes into 484 five times with 79 left over:
5_79/81 square inches
Since this is not one of the answer choices, I'm wondering if the given length of the side of the square is incorrect?
Answer:
After 10 years
Rick will have $1,480.24
Sally will have $1,500
Step-by-step explanation:
Data provided in the question:
Principle amount = $1,000
Now,
For Rick
Interest rate by bank, r = 4% = 0.04
Time period, n = 10 years
Now,
Final amount after 10 years with Rick using the compounding formula
Final amount = Principle × (1 + r)ⁿ
= $1,000 × (1 + 0.04 )¹⁰
= $1,480.24
For Sally
Amount paid each year = $50
Therefore,
Total amount paid in 10 years = $50 × 10
= $500
Thus,
Final amount Sally will have after 10 years
= $1,000 + Total amount paid in 10 years
= $1,000 + $500
= $1,500
Hence,
After 10 years
Rick will have $1,480.24
Sally will have $1,500
Answer:Holly drank 12 bottles in a week.
Step-by-step explanation:
First change the fraction 1 2/5 litre into a decimal, by doing this, we can know how many litres are there in 2/5.
So= 1 2/5
= 2 ÷5 = 0.4
= 1 + 0.4 = 1.4 liters
1.4 liters is the amount of water in a bottle.
Next, also change the fraction 2 2/5 litres into a decimal.
So=2 2/5
= 2÷5 = 0.4
= 2 + 0.4 = 2.4 liters
She drinks 2.4 liters a day.
To find how many bottles she drank in 1 week, we must multiply the amount of water she drinks in a day to the days in a week.
So= 1 week= 7 days
= 1 day= 2.4 liters
So= 2.4 × 7 = 16.8
She drinks 16.8 in a week.
To find how much bottles she drank in a week, we must divide the amount of liters she drank in one week to the amount of liters are there in a bottle.
So= 16.8 ÷ 1.4= 12 bottles
Holly drinks 12 bottles in a week.
I hope this helps! I'm sorry if it's wrong and complicated.
Answer:
56
Step-by-step explanation:
(7/20)=(x/160)
160(7/20)=x
x=56
